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kow [346]
3 years ago
13

A map is laid out in the standard (x,y) coordinate plane. How long, in units, is an airplane's path on the map as the airplane f

lys along a straight line from City A located at (20,14) to City B located at (5,10)
Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

Distance between the points A and B is 15.52 units.

Step-by-step explanation:

It has been given in the question that an airplane flies along a straight line from City A to City B.

Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).

Distance between two points A'(x, y) and B'(x', y') is represented by the formula,

d = \sqrt{(x-x')^{2}+(y-y')^{2}}

So we plug in the values of (x, y) and (x', y') in the formula,

d = \sqrt{(20-5)^{2}+(14-10)^{2}}

d = \sqrt{(15)^{2}+(4)^{2}}

d = \sqrt{225+16}

d = 15.52

Therefore, distance between the points A and B is 15.52 units.

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Answer:

c= 12t

c is the amount of energy you burn, so it'll be the "solution" to the equation. Multiply 12 times the amount of time you spend exercising to find how much energy you'll burn.

6 0
3 years ago
27<br> x 9<br> How do I solve this
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Which of the following variables is Nominal? Select one: a. Age (in years) b. Age (grouped as: less than 18, 18-29, 30-59, 60 an
Arada [10]

Answer:

c. Car color (e.g. red, blue, grey)

Step-by-step explanation:

There are four level of measurements: Ordinal, Nominal, Interval and Ratio.

  1. Ordinal variables are categorical variables and have a ordered categories. For example,the health of patients: Excellent, Good, Average and Poor.
  2. Nominal variables are also categorical variables but they do not have a ordered category or any numerical value. For example, Gender: Male or Female, or Occupation:, Accountant, Clerk, Manager.
  3. Interval variable are variables that take numerical values. These variables are ordered and  the difference between two values is meaningful. For example, temperature in degrees F.
  4. Ratio variable are type of interval variables but they do not have a variables with a 0 measurement. For example, height, age, money.

Considering all the option:

(a) Age (in years) is an interval variable.

(b) Age grouped as < 18, 18 - 29, 30-59, 60 > are basically ordered categorical variables. Thus, they are ordinal variables.

(c) Car Color (red, blue, grey) are nominal variable because they are not ordered and cannot be measured.

(d) Letter grade in a course (A+, A, A-, B+, B) are also ordinal variables because they are ordered and represent the performance quality of the student.

Thus, the correct answer is (c).

4 0
3 years ago
James is hosting a game show where a contestant has to draw a ball that is one of four colors from a pot. Each day, a ball of a
Rashid [163]
Let the number of red, black, green and blue balls be R, B, G, U respectively.

B=R  (There are as many black balls as red balls)

G+R=10 so G=10-R (Green balls and red balls should add up to 10)

R+10=U (There should be 10 more blue balls than red balls)

The minimal number of balls is 2, 304 so we have the following inequality:

R+B+G+U≥ 2,304

R+(R)+(10-R)+ (R+10)≥2,304

4R≥2,304

R≥2,304/4=576 so R=576


Answer: 576 
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Answer: Only 1 Stop

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